DUAL FORMULATION FOR LI AND REEVES MODEL

In 2016, Chaves et al presented a dual formulation for MCDEA from Li and Reeves (1999) model. Nevertheless, they considered just partials formulations for two objective functions each time, using a lexicography method to solve the tri-objective model from Li and Reeves (1999). Chaves et al (2016) model present lower freedom for decision-makers and did not consider whole aspects from Li and Reeves (1999) method. In this paper, we aim to present an improvement in the dual approach considering all aspects and characteristics from tri-objective Li and Reeves (1999) method. We combine, by weighted sum, the three objective functions into single one. We seek to provide a dual model, which is possible to check benchmarks. With the weighted sum method, we can also analyze the efficiency value for the DMU in Li and Reeves (1999) method. Moreover, our approach for formulation brings more freedom for the decision-maker analysis.